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Question
Find the square root of the following
9x2 – 24xy + 30xz – 40yz + 25z2 + 16y2
Solution
`sqrt(9x^2 - 24xy + 30xz - 40yz + 25z^2 + 16y^2)`
= `sqrt((3x)^2 + (4y)^2 + (5z)^2 - 2(3x)(4y) - 2(4y)(5z) + 2(3x)(5z))`
= `sqrt((3x - 4y + 5z)^2` ...[using (a – b + c)2 = a2 + b2 + c2 – 2ab – 2bc + 2ac]
= |3x – 4y + 5z|
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